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Hamiltonian simulation for nonlinear partial differential equation by Schrödingerization [PDF]
Scientific ReportsHamiltonian simulation is a fundamental algorithm in quantum computing that has attracted considerable interest owing to its potential to efficiently solve the governing equations of large-scale classical systems.
Shoya Sasaki +2 more
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Discrete Dynamics in Nature and Society, 2022 The main purpose of the current paper is to study the phase portraits and bounded and singular traveling wave solution of the stochastic nonlinear Biswas–Arshed equation by using the “three-step method” of Professor Li’s method together with the phase ...
Yong Tang, Wei Zeng, Zhao Li
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Nonlinear Dirac Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We construct nonlinear extensions of Dirac's relativistic electron equation that preserve its other desirable properties such as locality, separability, conservation of probability and Poincar invariance. We determine the constraints that the nonlinear term must obey and classify the resultant non-polynomial nonlinearities in a double expansion in ...
Ng, W.K., Parwani, R.R.
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Theory for Electrochemical Heat Sources and Exothermic Explosions: The Akbari–Ganji Method
Electrochem, 2023 A device that transforms chemical energy into electrical energy is an electrochemical cell. The reaction type inside the cell determines whether it is exothermic or endothermic.
Ramalingam Vanaja +3 more
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Mathematical and Computational Applications, 2022 We propose a new iterative scheme without memory for solving nonlinear equations. The proposed scheme is based on a cubically convergent Hansen–Patrick-type method.
Himani Sharma +2 more
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Communications in Analysis and Mechanics, 2022 In the framework of the self-consistent Maxwell-Pauli theory, the non-linear Pauli equation is obtained. Stationary and nonstationary solutions of the nonlinear Pauli equation for the hydrogen atom are studied. We show that spontaneous emission and the related rearrangement of the internal structure of an atom, which is traditionally called a ...
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Nonlinear Maxwell Equations [PDF]
Journal of Nonlinear Mathematical Physics, 1996 6 pages ...
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The analytic solutions of Schrödinger equation with Cubic-Quintic nonlinearities
Results in Physics, 2018 This paper deals with the nonlinear Schrödinger equation with Cubic-Quintic nonlinearities. After transforming the non-autonomous nonlinear Schrödinger equation into a stationary equation by adopting the BPVK idea, we give the classification of the ...
Chun-Yan Wang
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Abstract and Applied Analysis, 2014 We apply the generalized projective Riccati equations method to find the exact traveling wave solutions of some nonlinear evolution equations with any-order nonlinear terms, namely, the nonlinear Pochhammer-Chree equation, the nonlinear Burgers equation ...
E. M. E. Zayed, K. A. E. Alurrfi
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Dynamics of modulationally unstable ionacoustic wave packets in plasmas with negative ions [PDF]
, 2008 In this paper we study the propagation of nonlinear ion-acoustic waves in plasmas with negative ions. The Gardner equation governing these waves in plasmas with the negative ion concentration close to critical is derived.
Berezin +10 more
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